## Statistics (12th Edition)

$P(2.5 \leq x \leq a) = 0.5$ $P(2.5 \leq x \leq a) = ∫_{2.5}^{a} f(x).dx$ = $∫_{2.5}^{a} \frac{1}{d-c}.dx$ = $∫_{2.5}^{a} \frac{1}{2}.dx$ = 1/2 (a-2.5) Since $P(2.5 \leq x \leq a) = 0.5$ (a-2.5)/2 = 0.5 a-2.5 = 1 a = 2.5 + 1 = 3.5